If P = (frac{2}{3}) ((frac{1 – r^2}{n^2})), find n when r = (frac{1}{3}) and p = 1
-
A.
(frac{3}{2}) -
B.
(frac{1}{3}) -
C.
3 -
D.
(frac{2}{3})
Correct Answer: Option D
Explanation
If P = (frac{2}{3}) ((frac{1 – r^2}{n^2})), find n when r = (frac{1}{3}) and p = 1
p = (frac{2(1 – r^2)}{3n^2}) when r = (frac{1}{3}) and p = 1
1 = (frac{2}{3}) (frac{(1 – (frac{1}{3})^2)}{n^2})
n2 = (frac{2(3 – 1)}{3 times 3})
n2 = (frac{2 times 2}{3 times 3})
= (frac{4}{9})
n = (frac{4}{9})
= (frac{2}{3})